4064577408 has 224 divisors, whose sum is σ = 12435148440. Its totient is φ = 1322044416.

The previous prime is 4064577383. The next prime is 4064577467. The reversal of 4064577408 is 8047754604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 4011910 + ... + 4012922.

Almost surely, 2^4064577408 is an apocalyptic number.

4064577408 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4064577408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6217574220).

4064577408 is an abundant number, since it is smaller than the sum of its proper divisors (8370571032).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4064577408 is an equidigital number, since it uses as much as digits as its factorization.

4064577408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1088 (or 1061 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The square root of 4064577408 is about 63754.0383662086. The cubic root of 4064577408 is about 1595.8980091985.

The spelling of 4064577408 in words is "four billion, sixty-four million, five hundred seventy-seven thousand, four hundred eight".